Report of the fit

Fit summary

Description: PV19 version x
Minimiser: minuit
Random seed: 1234
Maximum values allowed for q_T / Q: 0.2
Percentile cut: 5
Parameterisation: PV19x
Initial parameters fluctuations: False
Explicit formula:

f_{\rm NP}(x,\zeta, b_T)= \Biggl( \frac{1-\lambda}{1 + g_1(x) b_T^2/4} + \lambda \exp \left(-g_{1B}(x) b_T^2 / 4 \right)\Biggr) \exp\left[- g_2 \log\left(\frac{\zeta}{Q_0^2}\right) b_T^2/4 - g_{2B} \log\left(\frac{\zeta}{Q_0^2}\right) b_T^4/4 \right]g_1(x) = \frac{N_1}{x\sigma} \exp\left[ - \frac{\ln^2\left(\frac{x}{\alpha}\right)}{2 \sigma^2} \right]g_{1B}(x) = \frac{N_{1B}}{x\sigma_B} \exp\left[ - \frac{\ln^2\left(\frac{x}{\alpha_B}\right)}{2 \sigma_B^2} \right]Q_0^2 = 1\;{\rm GeV}^2 t_0 prescription: True

g_2	N_1	\alpha	\sigma	\lambda	N_{1B}	\alpha_B	\sigma_B	g_{2B}
-0.12171532362505316	654.4751907123826	140.22949684582787	1.8350315259676926	0.49862144025369637	0.020682804403049194	0.17977030257144908	0.0034810401323081995	0.042248352421387886

Theory summary

Collinear PDF set: MMHT2014nlo68cl member 0
Collinear FF set: DSS14_NLO_PiSum member 0
b^* prescription: bstarmin
Perturbative order: NLLp
Reference value of the fine-structure constant: \alpha(Q = 91.1876\;{\rm GeV}) = 0.00776578395589 (running True)

Global statistical estimators

N_{rep} = 128
\chi_{0}^2 = 3.2628
\chi_{mean}^2 = 3.1909
\langle\chi^2\rangle \pm \sigma_{\chi^2} = 3.2801 \pm 0.0107
\langle E \rangle \pm \sigma_{E} = 4.3175 \pm 0.2259

Parameters

Parameter	Central replica	Average over replicas	Fixed
g_2	-0.12171324	-0.12171315 \pm 0.00878992	False
N_1	2290.5502	22858.55589272 \pm 91979.53431227	False
\alpha	417.24014	2513.87711699 \pm 8988.48011056	False
\sigma	1.9663395	1.79482461 \pm 0.30610008	False
\lambda	0.49454503	0.48658755 \pm 0.06344241	False
N_{1B}	0.020409603	0.02352988 \pm 0.00950689	False
\alpha_B	0.17977059	0.17977411 \pm 6.727e-05	False
\sigma_B	0.0034851611	0.00351953 \pm 0.0005288	False
g_{2B}	0.041642355	0.04137174 \pm 0.00674311	False

Fit properties

Global $\chi^2$ distribution — Global \chi^2 distribution

$\alpha$ distribution — \alpha distribution

$\sigma$ distribution — \sigma distribution

$\lambda$ distribution — \lambda distribution

$N_{1B}$ distribution — N_{1B} distribution

$\alpha_B$ distribution — \alpha_B distribution

$\sigma_B$ distribution — \sigma_B distribution

$g_{2B}$ distribution — g_{2B} distribution

Table of \chi^2’s

Central-replica \chi^2’s:
Experiment	Number of points	\chi_{D}^2	\chi_{\lambda}^2	\chi^2
E605_Q_7_8	7	0.4915	0.2012	0.6927
E605_Q_8_9	8	0.914	0.0449	0.9589
E605_Q_10.5_11.5	10	0.5311	0.0348	0.5659
E605_Q_11.5_13.5	12	1.7165	0.4008	2.1173
E605_Q_13.5_18	13	2.4915	0.7444	3.2359
E288_200_Q_4_5	4	1.176	0.7007	1.8767
E288_200_Q_5_6	5	3.1172	0.6451	3.7622
E288_200_Q_6_7	6	1.3511	0.2654	1.6165
E288_200_Q_7_8	7	1.3963	0.027	1.4233
E288_200_Q_8_9	8	0.8052	0.0198	0.825
E288_300_Q_4_5	4	0.9047	0.1023	1.007
E288_300_Q_5_6	5	1.864	0.0848	1.9488
E288_300_Q_6_7	6	1.4965	0.0052	1.5017
E288_300_Q_7_8	7	0.6407	0.0163	0.657
E288_300_Q_8_9	8	0.407	0.0298	0.4368
E288_300_Q_11_12	9	0.3539	0.221	0.5749
E288_400_Q_5_6	5	1.2631	0.0047	1.2678
E288_400_Q_6_7	6	0.7727	0.0649	0.8377
E288_400_Q_7_8	7	0.4782	0.0731	0.5514
E288_400_Q_8_9	8	0.7191	0.0638	0.7828
E288_400_Q_11_12	11	0.5103	0.0249	0.5352
E288_400_Q_12_13	12	0.546	0.0286	0.5746
E288_400_Q_13_14	12	0.4284	0.0743	0.5027
STAR_510	7	1.6267	0.0302	1.6569
CDF_RunI	25	0.8913	0.2549	1.1461
CDF_RunII	26	1.6202	0.0317	1.6519
D0_RunI	12	0.8439	0.0094	0.8534
D0_RunII	5	0.7953	0.0081	0.8035
D0_RunIImu	3	0.9923	0.1531	1.1454
LHCb_7TeV	7	2.19	1.4453	3.6352
LHCb_8TeV	7	2.2627	2.6807	4.9434
LHCb_13TeV	7	1.7916	0.5726	2.3641
CMS_7TeV	4	5.5238	0	5.5238
CMS_8TeV	4	2.3354	0.4385	2.7738
ATLAS_7TeV_y_0_1	6	16.7883	4.909	21.6973
ATLAS_7TeV_y_1_2	6	12.263	2.6024	14.8654
ATLAS_7TeV_y_2_2.4	6	3.4986	0.1705	3.6692
ATLAS_8TeV_y_0_0.4	6	12.5909	3.8895	16.4804
ATLAS_8TeV_y_0.4_0.8	6	16.9214	6.0062	22.9277
ATLAS_8TeV_y_0.8_1.2	6	11.4388	2.219	13.6578
ATLAS_8TeV_y_1.2_1.6	6	7.4139	1.7078	9.1217
ATLAS_8TeV_y_1.6_2	6	6.3556	2.2323	8.5879
ATLAS_8TeV_y_2_2.4	6	2.7285	0.7623	3.4907
ATLAS_8TeV_Q_46_66	4	2.2487	0.3708	2.6195
ATLAS_8TeV_Q_116_150	8	3.518	0.1115	3.6295
Total	353	-	-	3.2628

Mean-replica \chi^2’s:
Experiment	Number of points	\chi_{D}^2	\chi_{\lambda}^2	\chi^2
E605_Q_7_8	7	0.7147	0.1462	0.861
E605_Q_8_9	8	1.2961	0.1067	1.4028
E605_Q_10.5_11.5	10	0.8116	0.0314	0.843
E605_Q_11.5_13.5	12	1.2568	0.226	1.4828
E605_Q_13.5_18	13	1.2564	0.4176	1.674
E288_200_Q_4_5	4	0.5968	0.4821	1.0789
E288_200_Q_5_6	5	1.7302	0.3111	2.0414
E288_200_Q_6_7	6	0.9751	0.2094	1.1846
E288_200_Q_7_8	7	1.4228	0.0513	1.4741
E288_200_Q_8_9	8	1.1914	0.0029	1.1943
E288_300_Q_4_5	4	0.7052	0.1687	0.8739
E288_300_Q_5_6	5	1.7159	0.0648	1.7807
E288_300_Q_6_7	6	1.7739	0.0254	1.7994
E288_300_Q_7_8	7	0.8713	0.0288	0.9001
E288_300_Q_8_9	8	0.4097	0.0357	0.4453
E288_300_Q_11_12	9	1.0192	0.1761	1.1952
E288_400_Q_5_6	5	1.9475	0.0175	1.965
E288_400_Q_6_7	6	1.8576	0.0393	1.8969
E288_400_Q_7_8	7	1.6375	0.0691	1.7067
E288_400_Q_8_9	8	1.8312	0.0732	1.9044
E288_400_Q_11_12	11	0.7145	0.0359	0.7504
E288_400_Q_12_13	12	0.8322	0.0309	0.8631
E288_400_Q_13_14	12	0.8861	0.0708	0.9569
STAR_510	7	1.3968	0.0834	1.4801
CDF_RunI	25	0.7091	0.239	0.9481
CDF_RunII	26	1.801	0.0257	1.8267
D0_RunI	12	0.7102	0.0139	0.7241
D0_RunII	5	2.312	0.0155	2.3275
D0_RunIImu	3	0.9461	0.4472	1.3933
LHCb_7TeV	7	1.7124	1.4107	3.1231
LHCb_8TeV	7	1.9698	2.4908	4.4606
LHCb_13TeV	7	1.5759	0.5103	2.0862
CMS_7TeV	4	5.3675	0	5.3675
CMS_8TeV	4	2.1951	0.4055	2.6006
ATLAS_7TeV_y_0_1	6	15.7002	5.0557	20.7559
ATLAS_7TeV_y_1_2	6	11.4228	2.5715	13.9943
ATLAS_7TeV_y_2_2.4	6	3.3462	0.1722	3.5185
ATLAS_8TeV_y_0_0.4	6	11.9106	3.8812	15.7918
ATLAS_8TeV_y_0.4_0.8	6	16.1788	5.9291	22.1078
ATLAS_8TeV_y_0.8_1.2	6	10.9073	2.1809	13.0882
ATLAS_8TeV_y_1.2_1.6	6	6.9654	1.6974	8.6628
ATLAS_8TeV_y_1.6_2	6	5.8355	2.1127	7.9483
ATLAS_8TeV_y_2_2.4	6	2.5221	0.7408	3.263
ATLAS_8TeV_Q_46_66	4	1.9766	0.3201	2.2966
ATLAS_8TeV_Q_116_150	8	3.3693	0.1021	3.4714
Total	353	-	-	3.1909

Average-over-replicas \chi^2’s:
Experiment	Number of points	\chi^2
E605_Q_7_8	7	0.7069 \pm 0.0904
E605_Q_8_9	8	1.0087 \pm 0.0821
E605_Q_10.5_11.5	10	0.6035 \pm 0.0836
E605_Q_11.5_13.5	12	2.1324 \pm 0.1821
E605_Q_13.5_18	13	3.2252 \pm 0.1813
E288_200_Q_4_5	4	1.9014 \pm 0.1804
E288_200_Q_5_6	5	3.7638 \pm 0.2429
E288_200_Q_6_7	6	1.6174 \pm 0.1747
E288_200_Q_7_8	7	1.4211 \pm 0.1844
E288_200_Q_8_9	8	0.8307 \pm 0.0966
E288_300_Q_4_5	4	1.0185 \pm 0.1266
E288_300_Q_5_6	5	1.946 \pm 0.2245
E288_300_Q_6_7	6	1.4896 \pm 0.2659
E288_300_Q_7_8	7	0.6583 \pm 0.1612
E288_300_Q_8_9	8	0.451 \pm 0.0321
E288_300_Q_11_12	9	0.5843 \pm 0.06
E288_400_Q_5_6	5	1.2526 \pm 0.2528
E288_400_Q_6_7	6	0.8334 \pm 0.3124
E288_400_Q_7_8	7	0.5656 \pm 0.2964
E288_400_Q_8_9	8	0.8071 \pm 0.2253
E288_400_Q_11_12	11	0.5512 \pm 0.0606
E288_400_Q_12_13	12	0.5877 \pm 0.0555
E288_400_Q_13_14	12	0.5077 \pm 0.107
STAR_510	7	1.6262 \pm 0.1023
CDF_RunI	25	1.1498 \pm 0.0355
CDF_RunII	26	1.7186 \pm 0.2243
D0_RunI	12	0.867 \pm 0.0812
D0_RunII	5	0.8379 \pm 0.1708
D0_RunIImu	3	1.2009 \pm 0.0877
LHCb_7TeV	7	3.6606 \pm 0.1047
LHCb_8TeV	7	4.9942 \pm 0.1537
LHCb_13TeV	7	2.3875 \pm 0.0464
CMS_7TeV	4	5.5227 \pm 0.0585
CMS_8TeV	4	2.7751 \pm 0.0843
ATLAS_7TeV_y_0_1	6	21.7131 \pm 0.4253
ATLAS_7TeV_y_1_2	6	14.9134 \pm 0.3897
ATLAS_7TeV_y_2_2.4	6	3.6984 \pm 0.094
ATLAS_8TeV_y_0_0.4	6	16.483 \pm 0.2926
ATLAS_8TeV_y_0.4_0.8	6	22.9654 \pm 0.3531
ATLAS_8TeV_y_0.8_1.2	6	13.6675 \pm 0.2534
ATLAS_8TeV_y_1.2_1.6	6	9.1361 \pm 0.1975
ATLAS_8TeV_y_1.6_2	6	8.6294 \pm 0.2815
ATLAS_8TeV_y_2_2.4	6	3.5283 \pm 0.1425
ATLAS_8TeV_Q_46_66	4	2.6154 \pm 0.1052
ATLAS_8TeV_Q_116_150	8	3.6397 \pm 0.0753
Total	353	3.2801 \pm 0.0107